Problem
If \(y = kx^2\), where \(k\) is a constant, and \(y = 25\) when \(x = 5\), what is the value of \(k\)?
Solution
Step 1 ：First, substitute \(x = 5\) and \(y = 25\) into the equation \(y = kx^2\), we get \(25 = k(5)^2\).
Step 2 ：Next, simplify the right hand side to get \(25 = 25k\).
Step 3 ：Finally, solve for \(k\) by dividing both sides of the equation by 25, we get \(k = 1\).
